LCM of 183, 828, 793, 186, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 183, 828, 793, 186, 966 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 183, 828, 793, 186, 966. So, keep reading to learn more.
Given numbers are 183,828,793,186,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 183,828,793,186,966 is 142483068.
Find LCM of 183,828,793,186,966 with Prime Factorization
| 2 | 183, 828, 793, 186, 966 |
| 3 | 183, 414, 793, 93, 483 |
| 23 | 61, 138, 793, 31, 161 |
| 61 | 61, 6, 793, 31, 7 |
| 1, 6, 13, 31, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 61 x 1 x 6 x 13 x 31 x 7 = 142483068
Therefore, the lowest common multiple of 183,828,793,186,966 is 142483068.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
183 x 828 x 793 x 186 x 966 = 21589604395632
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
183 : 1, 3, 61, 183
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
793 : 1, 13, 61, 793
186 : 1, 2, 3, 6, 31, 62, 93, 186
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 183,828,793,186,966, is 1.
Now, the common factors can be found like this.
183:3x 61
828:2x 2x 3x 3x 23
793:13x 61
186:2x 3x 31
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 23x 61 = 151524
Therefore, the value for common factors is 151524.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 21589604395632/(1x151524)
LCM = 21589604395632/151524
LCM = 142483068
Thus, we can understand that the LCM of 183,828,793,186,966 is 142483068.
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FAQs on LCM of 183, 828, 793, 186, 966
1. What is the LCM of 183, 828, 793, 186, 966?
Answer: LCM of 183, 828, 793, 186, 966 is 142483068.
2. How to calculate the LCM of 183, 828, 793, 186, 966?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 183, 828, 793, 186, 966.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.